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454391440 = 2456193113
BaseRepresentation
bin11011000101010…
…111011010010000
31011200000110212121
4123011113122100
51412311011230
6113031104024
714155156246
oct3305273220
91150013777
10454391440
11213546018
12108212014
13731a6799
14444c2796
1529d5977a
hex1b157690

454391440 has 40 divisors (see below), whose sum is σ = 1073790648. Its totient is φ = 178775040.

The previous prime is 454391437. The next prime is 454391471. The reversal of 454391440 is 44193454.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 454201344 = 436^2 + 21312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 454391396 and 454391405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41677 + ... + 51436.

Almost surely, 2454391440 is an apocalyptic number.

454391440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454391440 is an abundant number, since it is smaller than the sum of its proper divisors (619399208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454391440 is a wasteful number, since it uses less digits than its factorization.

454391440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93187 (or 93181 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 454391440 is about 21316.4593682910. The cubic root of 454391440 is about 768.7941095275.

The spelling of 454391440 in words is "four hundred fifty-four million, three hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 93113 186226 372452 465565 744904 931130 1489808 1862260 3724520 5679893 7449040 11359786 22719572 28399465 45439144 56798930 90878288 113597860 227195720 454391440